Answers
AC = 12
Selection A is appropriate.
Answer:
AC = 12 units.
Step-by-step explanation:
Given : A triangle ABC with BD is the perpendicular bisector of AC.
To find : What is the length of AC.
Solution : We have given triangle ABC with BD is the perpendicular bisector of AC.
Bisector : Which cut the line equally in to two part.
So , BD cut AC in two equal part AD = DC.
We can write
AC = AD + DC.
Plug the values DC = 6 , AD =DC = 6.
AC = 6 + 6
AC = 12 units.
Therefore , AC = 12 units.
Related Questions
Is a product of a rational and irrational number, rational or irrational? Give an example
Answers
A picture measuring 2.5" high by 6" wide is to be enlarged so that the width is now 18 inches. How tall will the picture be?
Answers
2.5 to 6 so if 6 is raised to 18 thats times 3 so just times 2.5 by 3 and you would 7.5
2.5" long/6" wide = t/18 " wide
6t = 18*2.5
6t = 45
t = 45/6
t = 7.5 inches
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
The area of this triangle, A, is equal to the perimeter of this triangle.
Create a system of equations to model this situation. Determine if there are any solutions, and, if possible, whether or not they are viable.
How many total possible solutions are there to this system?
Of any possible solutions, how many are viable solutions for this situation?
Answers
y = 1/2(x²) - (7/2)x
The equation to represent the perimeter of the triangle would be:
y = 3x - 6
The solutions to the system would be (12, 30) or (1, -3). The only viable solution is (12, 30).
Explanation
The area of a triangle is found using the formula
A = 1/2bh
For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x
We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x
The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)
Combining like terms we get:
P = 3x - 6
We will replace P with y, so we have:
y = 3x - 6
Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:
3x - 6 = 1/2(x²) - (7/2)x
It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x
We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x
When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12
This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)
Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.
Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)
We cannot have a negative perimeter, so the only viable solution is (12, 30).
Answer:
two possible and one viable
Step-by-step explanation:
hope this helps!
PLEASE HELP!
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.
Which sampling methods are likely to be biased?
Select each correct answer.
The manager selects 20 boards at random each day for 5 days and examines them.
Every 40th board produced over the course of 1 week is selected and examined.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied
Answers
The third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective. To determine this accurately, the manager must use unbiased sampling methods.
Biased Sampling Methods
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined: This method is likely to be biased because it only considers boards produced during a specific timeframe, which might not represent the entire production cycle.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied: This method is biased due to its reliance on customer self-reporting and the fact that only the first few respondents are considered, which might not be representative.
Possibly Unbiased Sampling Methods
The manager selects 20 boards at random each day for 5 days and examines them: This sampling method is likely to be unbiased as it involves random selection across multiple days, covering a broader production span.
Every 40th board produced over the course of 1 week is selected and examined: This method is less likely to be biased as it systematically covers the production over a week, though it might miss defects that occur in clusters shorter than 40 boards.
In summary, the third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.
Carmela randomly selected 65 stamps from a stamp collection. Eleven of these were commemorative stamps. What is the interval estimate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.025?
Answers
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942
lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942
A right circular cylinder has a volume of 1296 cubic inches. If you divide the radius of the cylinder by 12, what would be the volume of the smaller cylinder?
Answers
I'm so sorry if I'm wrong but I hope I helped you
Another way is you could divide 1296 by 2 and divide that answer by 12 I another way to get an answer to the question you're asking
What is the equation in point-slope form of the line passing through (2,2) and (4,8)
Answers
points A (2,2) and B (4,8)
we know
the equation in point-slope form of the line is
y-y1=m*(x-x1)
step 1
find the slope m
m=(y2-y1)/(x2-x1)=(8-2)/(4-2)=6/2=3
with the point A (2,2) and m=3
y-2=3*(x-2)------------> this is the equation in point-slope form of the line
When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?
Answers
When translating a figure using two translations, the end result is a figure that is congruent to the original. This is due to the fact that translations move the shape without altering its size or orientation.
Explanation:Yes, when translating a figure using a combination of two translations, the resulting figure is congruent to the original figure. When a figure is translated, it is moved without being turned or flipped, the size and shape remains the same, hence making it congruent. For example, consider a parallelogram. If two different vectors A and B are chosen to translate it, following the rules of vector summation, the figure moved, known as the resultant vector retains the dimensions and angles of the original parallelogram, albeit in a different location.
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HOW DO u do this?? Plz help!!!! Question 2
Answers
The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? a.Likely b.Certain c.Unlikely d.Impossible
Answers
Answer:
A
Step-by-step explanation:
A is the correct answer because, 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
What is Eleven less than two times a number is equal to 27
Answers
If you want me to solve 2x - 11 = 27 than its below:
2x = 11 + 27
38 = 2x
38/2 = x
19 = x
-Love, live, and watch anime.
11 less implies: -11
two times a number (x) implies: 2x
equal to 27 implies: = 27
Set the equation together.
2x - 11 = 27 is your equation.
Solve for x. Note the equal sign. What you do to one side you do to the other. Add 11 to both sides
2x - 11 (+11) = 27 (+11)
2x = 38
Isolate the x. Divide 2 from both sides.
2x/2 = 38/2
x = 19
hope this helps
Which of the following represents “the sum of the abscissa and the ordinate is negative four”?
A. x + y = -4
B. xy = 4
C. 4x + 4y = 0
Answers
When you are working with coordinate points, the x-value in the point is called the abscissa. The y-value in the point is called the ordinate.
Therefore all you have to do is add the x and y of the coordinates to get our equation. Don't forget that the sum has to be -4 according to the problem.
29 plus j is equal to the quotient of 77 and j
Write as an equation
Answers
HEEEEEEEEEEEEEEEEELP
Answers
y = -5x + 6
Explanation:
The equation of line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = -5. Therefore, the equation becomes:
y = -5x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (3,-9) in the equation and solve for c as follows:
y = -5x + c
-9 = -5(3) + c
-9 = -15 + c
c = -9 + 15 = 6
Based on the above, equation of line is:
y = -5x + 6
Hope this helps :)
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped bin has an edge length of 34 yard. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
Answers
To find the volume, you simply have to use the formula that is given. It is V = s^3. This means you multiply the side by itself 3 times.
S x S x S = V
34 x 34 x 34 = 39304 cubic yards
help please and thank you.
Answers
.. 8, 10, 14, 15, 18, 22, 22, 30, 33
b) min: 8
.. med: 18
.. max: 33
.. Q1: med of first 4: 12
.. Q3: med of last 4: 26
Find the first term of the arithmetic sequence in which t22=1008 and d= -8
Answers
t22 = 22nd term
d = common difference
d = -8
n = number of terms
n = 22
.
tn = t1 + (n - 1)d
t22 = t1 + (n - 1)d
1008 = t1 + (22 - 1)-8
1008 = t1 + (21)-8
1008 = t1 + 168
1008 - 168 = t1
840 = t1
PLEASE HELP WILL GIVE 30 POINTS
Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)
Answers
To solve this problem you must apply the proccedure shown below:
a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:
[tex] (x^{2}-4x+5)+(7x^{2}+2x-3) [/tex]
[tex] 8x^{2} -2x+2 [/tex]
b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:
[tex] (7x^{2}+4x-6-2x^{2}+3x-1) \\ 5x^{2} +7x-7 [/tex]
The answers are: a)[tex] 8x^{2} -2x+2 [/tex]; b) [tex] 5x^{2} +7x-7 [/tex]
a)
x² - 4x + 5 + 7x² + 2x - 3
8x² - 2x + 2
b)
7x² + 4x - 6 - (2x² - 3x + 1)
7x² + 4x - 6 - 2x² + 3x - 1
5x² + 7x - 7
Tennis balls are sold in tubes that hold 3 tennis balls each. A store stacks 2 rows of tennis ball tubes on its shelf. Each row has 7 tubes in it. How many tennis balls are there in all?
Answers
There are a total of 42 tennis balls on the shelf.
To determine the total number of tennis balls on the shelf, we first need to find out how many tennis ball tubes are there. Each row has 7 tubes and there are 2 rows:
Number of tubes per row = 7
Number of rows = 2
Total number of tubes = 7 tubes/row × 2 rows = 14 tubes
Since each tube contains 3 tennis balls, we multiply the total number of tubes by the number of tennis balls per tube:
Number of tennis balls per tube = 3
Total number of tennis balls = 14 tubes × 3 tennis balls/tube = 42 tennis balls
Therefore, the store has a total of 42 tennis balls on the shelf.
a plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour.if the plane resultant speed due to the wind is 180 miles/hour,what is the plane's actual speed. rounded to the nearest integer
Answers
I hope this helped!
The plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
The question in incomplete.
The complete question is:
A plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour. If the plane's resultant speed due to the wind is 180 miles/hour, what is the plane's actual speed, rounded to the nearest integer?
120 miles/hour130 miles/hour135 miles/hour140 miles/hourFrom the data given in the question:
Using Cosine Law:
c² = a² + b² - 2 ac cos C
180² = 50² + x² - (2×50)x cos 150°
32400 - 2500 - x² = 86.6x
29,900 - x² = 86.6 x
x² + 86.6x - 29900 = 0
After solving the above quadratic equation:
x = 135 miles/hour
Thus, the plane's actual speed is 135 miles/hour if the plane is traveling due south. The wind is blowing 30° east of south at 50 miles/hour option (C) 135 miles/hour is correct.
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how many square feet of outdoor carpet will we need for this hole
Answers
Answer: 36 sq
Step-by-step explanation: you add 24 to 12 and get 36
Answer:
[tex]36\text{ inch}^2[/tex]
Step-by-step explanation:
We have been given an image of outdoor carpet needed for a hole. We are asked to find the area of outdoor carpet needed for this hole.
We can see that there are two pieces needed to cover the given hole.
One pieces equal 24 square inches and another pieces equal 12 square inches.
[tex]\text{Area of carpet needed to cover the hole}=24\text{ inch}^2+12\text{ inch}^2[/tex]
[tex]\text{Area of carpet needed to cover the hole}=36\text{ inch}^2[/tex]
Therefore, [tex]36\text{ inch}^2[/tex] of carpet is needed to cover the given hole.
A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase in the price?
Answers
Ari bought a DVD that originally cost $15 on sale for 20% off. The sales tax is 5%. How much did Ari pay for the DVD, including tax.
Answers
And 5% of 12.00 is .60
So your answer is $12.60
If this helps mark as brainliest pls
PLEASE HELP ME I BEG YOU PLEASE PLEA PLEASE
Solve 2x + y + z = 5
4x – 2y – z = 0
3x – y + 2z = 6
(1, 1, 2)
(-1, -1, -2)
(5, 0, 6)
(1, 1, -2)
Solve 3x + 6y – 6z = 9
2x – 5y + 4z = 6
-x +16y + 14z = -3
(5, 0, 1)
(9, 6, -3)
(0, 3, 0)
(3, 0, 0)
Solve –x + y + 2z = 2
2x – y + z = 5
-4x – y + 3z = 3
(2, 5, 3)
(0, 4, -1)
(1, -1, 2)
(-1, 1, -2)
Solve –x + 3y + z = 9
2x + 5y = 27
3x + y – 2z = -18
(1, 3, -2)
(21, -3, 39)
(1, 2, -4)
(22, -1, 26)
Solve x – 2y – 3z = 3
3x + y + z = 12
3x – 2y – 4z = 15
(0, 0, -1)
(3, 12, 15)
(3, 9, -6)
(-3, -9, 6)
Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1
(1, 6, 1)
(1, 2, -6)
(2, 1, -4)
(-1, -2, 6)
Answers
The second one is the fourth one
The third one is the third one
The fourth one is the second one
The fifth one is the third one
The sixth one is the second one
Answer:
The first one is (1, 1, 2)
The second one is (3, 0, 0)
The third one is (1, -1, 2)
The fourth one is (21, -3, 39)
The fifth one is (3, 9, -6)
The sixth one is (1, 2, -6)
What is 3/4 of a year ? Write in months.
Answers
To make this a bit simpler, first, we should convert a year into months:
1 yr = 12 mo
Now, we multiply 12 by 3/4, since we're trying to find 3/4 of a year.
12 * 3/4 = 9
So, our answer would be 9 months.
Hope this helps!
A flagpole that is 30 feet tall casts a shadow that extends 42 feet from the base of the flagpole. What is the distance from the top of the flagpole to the end of the shadow?
Answers
How can you estimate to find the percent of a number? Please give a full explanation.
(do not use an example to demonstrate)
Answers
I hope this helped! :-)
which questions are good examples of a statistical question? check all that apply
a. How many pets do you have
b. do you think a pet is a lot of work?
c. do you like having a pet?
d. how many times a day do you feed your pet?
e. do you feed your pet at night?
Answers
Answer:
A and d are pretty good questions
Can anyone PLEASE help me with this? Will mark brainliest
Simplify the expression.
2 1/4x+(4 1/3x-7 4/5) divided by 2 3/5
Answers
hope this helps
Question
--------------------------------------
[tex]2 \dfrac{1}{4} + ( 4\dfrac{1}{3} x - 7 \dfrac{4}{5} ) \div 2 \dfrac{3}{5} [/tex]
--------------------------------------
Start with the bracket
--------------------------------------
--------------------------------------
Change to improper fraction
--------------------------------------
[tex]2 \dfrac{1}{4} + ( \dfrac{13}{3} x - \dfrac{39}{5} ) \div 2 \dfrac{3}{5} [/tex]
--------------------------------------
Make into single fraction
--------------------------------------
[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div 2 \dfrac{3}{5} [/tex]
--------------------------------------
Now do the divide
--------------------------------------
--------------------------------------
Convert to improper fraction
--------------------------------------
[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div \dfrac{13}{5} [/tex]
--------------------------------------
Change to multiplication fraction
--------------------------------------
[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \times \dfrac{5}{13} [/tex]
--------------------------------------
Multiply the fraction
--------------------------------------
[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{39}} [/tex]
--------------------------------------
Now do the addition
--------------------------------------
--------------------------------------
Change to improper fraction
--------------------------------------
[tex] \dfrac{9}{4} + \dfrac{65x-117}{39}} [/tex]
--------------------------------------
Put into single fraction
--------------------------------------
[tex] \dfrac{351 + 260x -468}{156} [/tex]
--------------------------------------
Combine like terms
--------------------------------------
[tex] \dfrac{260x -117}{156} [/tex]
last month you swim the 50m freestyle in 28.38 seconds. Today you swim it in 27.33 seconds what is your percent of change round to the nearest tenth of a percent if necessary
Answers
Making it a percent and rounding it to the nearest tenth it’ll be 96.3%